The reduced \(C^ *\)-algebra of the p-adic group GL(n)
type: Item
instance of: scholarly article
title: The reduced \(C^ *\)-algebra of the p-adic group GL(n)
zbMATH Open document ID: 0625.46064
DOI: 10.1016/0022-1236(87)90076-0
published in: Journal of Functional Analysis
publication date: 1987-01-01T00:00:00Z
review text: The Lefschetz principle, according to Harish-Chandra, says that whatever is true for real reductive groups is also true for p-adic groups. In this article this principle is investigated in the particular instance of p- adic GL(n). The reduced \(C^*\)-algebra is Morita equivalent to an abelian \(C^*\)-algebra. A precise geometric description of the reduced dual is given. K-theory generators are essentially parametrized by two items of Langlands data.
Mathematics Subject Classification ID: 46L80
Mathematics Subject Classification ID: 46L55
zbMATH DE Number: 4015482
zbMATH Keywords: Lefschetz principle
zbMATH Keywords: reduced \(C^ *\)-algebra is Morita equivalent to an abelian \(C^ *\)-algebra
zbMATH Keywords: reduced dual
zbMATH Keywords: K-theory generators
author: Roger Plymen
MaRDI profile type: Publication
full work available at URL: 0022-1236(87)90076-0
OpenAlex ID: W2070348391
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description: scientific article; zbMATH DE number 4015482